This paper proposes an approach to designing rigid origami flashers that can be deployed onto curved-surface configurations. The method of designing planar origami flashers that can be wrapped around regular polygonal central hubs is presented. Based on the principle of parallel projection, planar origami flashers are projected onto target spherical surfaces to obtain the vertices on the boundary creases between sections of adjacent origami flashers. The geometric relationships of thin-panel curved origami flashers are established in terms of foldability, and other vertices in each section are calculated using numerical methods. Flexible and elastic hinges modify the thin-panel curved origami flashers into thick-panel rigid flashers. The thick rigid panels maintain the shape of flashers, and the flexible creases treated using thickness-accommodating methodologies are used to maintain the foldability of the thick panels. Additionally, we analysed the parameters that affect the accuracy of the surface fitting. The feasibility of the proposed approach is verified using numerical simulations and physical prototypes. The novel designing of deployable curved-surface rigid origami flashers facilitates their potential applicability in solid surface antennas, surface reflectors, and other space engineering applications.

本文提出了一种设计可部署在曲面配置上的刚性折纸闪光灯的方法。介绍了设计可以缠绕在规则多边形中心轮毂上的平面折纸闪光灯的方法。根据平行投影原理，将平面折纸闪光器投影到目标球面上，以获得相邻折纸闪光器各部分之间边界折痕上的顶点。根据可折叠性建立薄板弯曲折纸闪光灯的几何关系，并使用数值方法计算每个部分的其他顶点。柔性和弹性铰链将薄板弯曲折纸闪光灯修改为厚板刚性闪光灯。厚实的刚性面板保持了闪光灯的形状，使用适应厚度的方法处理的柔性折痕用于保持厚板的可折叠性。此外，我们分析了影响表面拟合精度的参数。使用数值模拟和物理原型验证了所提出方法的可行性。可展开曲面刚性折纸闪光灯的新颖设计促进了它们在固体表面天线、表面反射器和其他空间工程应用中的潜在适用性。